Bergeron, N., Sengun, M.H. and Venkatesh, A. (2016) Torsion homology growth and cycle complexity of arithmetic manifolds. Duke Mathematical Journal, 165 (9). pp. 1629-1693. ISSN 0012-7094
Abstract
Let M be an arithmetic hyperbolic 3-manifold, such as a Bianchi manifold. We conjecture that there is a basis for the second homology of M, where each basis element is represented by a surface of ‘low’ genus, and give evidence for this. We explain the relationship between this conjecture and the study of torsion homology growth.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 Duke University Press. This is an author produced version of a paper subsequently published in Duke Mathematical Journal. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 20 Apr 2016 13:47 |
Last Modified: | 28 Oct 2016 23:56 |
Published Version: | http://dx.doi.org/10.1215/00127094-3450429 |
Status: | Published |
Publisher: | Duke University Press |
Refereed: | Yes |
Identification Number: | 10.1215/00127094-3450429 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:97988 |